Difference between revisions of "1985 AJHSME Problems/Problem 23"
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Revision as of 18:13, 6 October 2024
Problem
King Middle School has students. Each student takes classes a day. Each teacher teaches classes. Each class has students and teacher. How many teachers are there at King Middle School?
Solution
If each student has classes, and there are students, then they have a total of classes among them.
Each class has students, so there must be classes. Each class has teacher, so the teachers have a total of classes among them.
Each teacher teaches classes, so if there are teachers, they have classes among them. This was found to be , so
This is answer choice
Solution 2 (Similar to above solution)
See Also
1985 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 22 |
Followed by Problem 24 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.